(i forgot to put this in with the last question, sorry)
What is the volume of the triangular prism to the nearest whole unit?
[Image shows a triangular prism with a height of 4 ft, a width of 14 ft, and a length of 21 ft.]
A. 392 ft^2
B. 588 ft^2
C. 1,176 ft^2
D. 2,352 ft^2
Pup tent
area of triangle = (1/2) b h = (1/2)(4) (14) = 28 ft^2
28 ft^2 * 21ft = 588 ft^3
NOTE: Volume is CUBIC L^3, Area is squared L^2
Thank you! And yeah, I meant to put L^3 and not L^2, oops
Which choice correctly describes this event? I will pull a blue marble at random out of a jar with 49 red marbles and 1 blue marble
A) Certain event
B) Likely event
C) Unlikely event
D) Impossible event
D) Impossible event, since the event describes pulling a blue marble out of a jar with 49 red marbles and only 1 blue marble. The probability of selecting a blue marble in this case is 1/50, which is not impossible, but the question asks for a specific outcome with certainty. Therefore, the event as described is impossible.
Which THREE statements are correct when determining the likelihood of a chance event occurring?
Responses
A A chance event with a 0.35 probability is more likely to occur than an event with a 0.40 probability.A chance event with a 0.35 probability is more likely to occur than an event with a 0.40 probability.
B The closer the probability of a chance event is to 0, the less likely it is for the event to occur.The closer the probability of a chance event is to 0, the less likely it is for the event to occur.
C A probability of 12
means the event will more than likely occur.A probability of 1 2 means the event will more than likely occur.
D A chance event with a 0.95 probability of occurring is likely to occur.A chance event with a 0.95 probability of occurring is likely to occur.
E A chance event with a probability of 0.68 is more likely to occur than an event with a 0.55 probability.
A, B, and E are the correct statements:
A) A chance event with a 0.35 probability is more likely to occur than an event with a 0.40 probability. This is true, as the closer the probability is to 1, the more likely it is that the event will occur.
B) The closer the probability of a chance event is to 0, the less likely it is for the event to occur. This is also true, as a probability of 0 means the event is impossible.
E) A chance event with a probability of 0.68 is more likely to occur than an event with a 0.55 probability. This is true, as the closer the probability is to 1, the more likely it is that the event will occur.
A survey asked a group of teachers to choose their favorite type of lunch. The results of the survey are shown in the table.
Based on this data, what is the approximate probability that a teacher prefers soup? (round to the nearest hundredth)
Responses
A 0.270.27
B 0.210.21
C 0.330.33
D 0.240.24
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The approximate probability that a teacher prefers soup is 0.27.
To calculate this, we add up the number of teachers who prefer soup (27) and divide by the total number of teachers surveyed (100):
27/100 = 0.27
Therefore, the answer is option A) 0.27 (rounded to the nearest hundredth).
The table shows the frequency of colors in a bag of skittles. Based on this data, what is the approximate probability that a YELLOW skittle is pulled from a bag of skittles? (round to the nearest hundredth)
Responses
A 0.120.12
B 0.150.15
C 0.180.18
D 0.21
The approximate probability that a YELLOW skittle is pulled from a bag of skittles is 0.18.
To calculate this, we add up the number of yellow skittles (18) and divide by the total number of skittles (100):
18/100 = 0.18
Therefore, the answer is option C) 0.18 (rounded to the nearest hundredth).